Vault doesn't Initialize with Auto-unseal using Transit Secrets Engine

Configured Vault using Auto-unseal using Transit Secrets Engine.

As mentioned in the following doc I've configured multiple vaults and everything seems to be working fine.
https://learn.hashicorp.com/tutorials/vault/autounseal-transit?in=vault/auto-unseal

Vault A ( This is configured to use for unsealing the Vault B as mentioned in the above doc )
Vault B ( This is the actual vault where we store stuff... )

After Vault is up and running I tried the validating the following scenario.

What if I lost the unseal vault server (Vault A )?
- I got to know that we can recover the vault server ( Vault B ) with the **recovery key** which we get while initializing vault ( Vault B ).
- In Vault server ( Vault B) first I tried sealing the vault manually, unsealing it using recovery key and this worked fine. ✔️
- Now I stopped the unseal vault server ( Vault A) and restarted the vault server ( Vault B ) and trying to unseal it with recovery key ( which i got when vault B is initialized ) gives me connection refused.

I believe vault should come up with initialized, sealed mode so that I can unseal with the recovery key but that doesn't seems to happen in my case.

Am i missing anything here ?

Start with the linked Vault auto-unseal Transit tutorial and the Vault A/Vault B setup described in the issue. Reproduce the restart of Vault B while Vault A is unavailable, then compare manual sealing and recovery-key behavior; done means the expected initialized, sealed state and recovery path are confirmed or the missing configuration is identified.

Written by the indexing model from the issue text.